by Katie Lilienkamp, (c)2000
You can review this (and past) tutorials by following their links on the
Problem Sets webpage for 2.010.
This week, the tutorial will cover two general topics:
1. - For Problem 7.1, some helpful tips for visualizing the relationship between:
poles (in the s-plane), and
resulting transient response
2. - Piezoelectrics (relevant to Problem 7.2), including both:
fun and interesting facts (not particularly useful for the problem set), and
a power transduction analogy with voltage-controlled motors
We are delving into some really cool stuff now in class!
In 2.003 and 2.004, you learned how to model what various physical systems would do.
Now in 2.010,
you can control these systems to your own desired specifications (for
transient response and steady-state error).
To design cluefully, you need strong intuition for the relationship between pole (and zero) locations and transient response of a system.
(And this is exactly my goal in creating the tips
here for problem 7.1.)
To better understand how to model piezoelectric systems, seek out similarities with past system elements you've seen.
I have tried
to emphasize an analogy with the voltage-controlled motor we studied in
problem sets 2 and 3 this term.
* WARNING * : Any (inadvertant) mis-information on these pages is your responsibility to catch (if you use it on problem sets, etc).
Double-check (for errors) whatever you find here!